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Finding the Fourth Proportional to 9,955.38, 13,737.90 and 5,478.27

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Solution

The fourth proportional to 9,955.38, 13,737.90 and 5,478.27 is: 7,559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.38 : 13,737.90 = 5,478.27 : x
  2. Step 2: Convert to fraction form
    9,955.38/13,737.90 = 5,478.27/x
  3. Step 3: Cross multiply
    9,955.38x = 13,737.90 × 5,478.27
  4. Step 4: Simplify right side
    9,955.38x = 75,259,925.43
  5. Step 5: Solve for x
    x = 75,259,925.43/9,955.38
  6. Step 6: Final answer
    x = 7,559.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.